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Finding the Fourth Proportional to 4,288.01, 6,431.14 and 1,168.23

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Solution

The fourth proportional to 4,288.01, 6,431.14 and 1,168.23 is: 1,752.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,288.01 : 6,431.14 = 1,168.23 : x
  2. Step 2: Convert to fraction form
    4,288.01/6,431.14 = 1,168.23/x
  3. Step 3: Cross multiply
    4,288.01x = 6,431.14 × 1,168.23
  4. Step 4: Simplify right side
    4,288.01x = 7,513,044.84
  5. Step 5: Solve for x
    x = 7,513,044.84/4,288.01
  6. Step 6: Final answer
    x = 1,752.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.